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12727126976 = 261720995573
BaseRepresentation
bin10111101101001100…
…01000101111000000
31012211222100001001012
423312212020233000
5202031121030401
65502522300052
7630250536314
oct136646105700
935758301035
1012727126976
115441149963
122572357628
13127a9b1285
1488a417b44
154e75008bb
hex2f6988bc0

12727126976 has 56 divisors (see below), whose sum is σ = 26758544400. Its totient is φ = 5985308672.

The previous prime is 12727126961. The next prime is 12727126987. The reversal of 12727126976 is 67962172721.

It is a super-2 number, since 2×127271269762 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2280926 + ... + 2286498.

It is an arithmetic number, because the mean of its divisors is an integer number (477831150).

Almost surely, 212727126976 is an apocalyptic number.

12727126976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12727126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379272200).

12727126976 is an abundant number, since it is smaller than the sum of its proper divisors (14031417424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12727126976 is a wasteful number, since it uses less digits than its factorization.

12727126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7701 (or 7691 counting only the distinct ones).

The product of its digits is 889056, while the sum is 50.

The spelling of 12727126976 in words is "twelve billion, seven hundred twenty-seven million, one hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2099 4198 5573 8396 11146 16792 22292 33584 35683 44584 67168 71366 89168 94741 134336 142732 178336 189482 285464 356672 378964 570928 757928 1141856 1515856 2283712 3031712 6063424 11697727 23395454 46790908 93581816 187163632 198861359 374327264 397722718 748654528 795445436 1590890872 3181781744 6363563488 12727126976